Macdonald symmetric functions of rectangular shapes
From MaRDI portal
Publication:458295
DOI10.1016/j.jcta.2014.08.005zbMath1301.05356arXiv1308.3821OpenAlexW2030358473MaRDI QIDQ458295
Publication date: 7 October 2014
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.3821
Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05)
Related Items (6)
Deformation of Cayley's hyperdeterminants ⋮ The AFLT \(q\)-Morris constant term identity ⋮ A recursion for a symmetric function generalization of the \(q\)-Dyson constant term identity ⋮ On the \(q\)-Dyson orthogonality problem ⋮ A symmetric function generalization of the Zeilberger–Bressoud $q$-Dyson theorem ⋮ A new approach to constant term identities and Selberg-type integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Applications of a Laplace-Beltrami operator for Jack polynomials
- On vertex operator realizations of Jack functions
- Principal subspace for the bosonic vertex operator \(\phi_{\sqrt {2m}}(z)\) and Jack polynomials
- Hyperdeterminantal expressions for Jack functions of rectangular shapes
- Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
- A proof of Andrews' \(q\)-Dyson conjecture
- Vertex operators and Hall-Littlewood symmetric functions
- A formula for two-row Macdonald functions
- Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
- A Dyson constant term orthogonality relation
- Jack vertex operators and realization of Jack functions
- A generalization of Newton's identity and Macdonald functions
- Inversion of the Pieri formula for Macdonald polynomials
- A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem
- A short proof of the Zeilberger-Bressoud $q$-Dyson theorem
This page was built for publication: Macdonald symmetric functions of rectangular shapes